Least Common Multiple of 2870 and 2875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2870 and 2875 the smallest integer that is 1650250 that is divisible by both numbers.

Least Common Multiple (LCM) of 2870 and 2875 is 1650250.

LCM(2870,2875) = 1650250

LCM of 2870 and 2875

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2870 and 2875

LCM of 2870 and 2875 is 1650250

Least common multiple can be found by multiplying the highest exponent prime factors of 2870 and 2875. First we will calculate the prime factors of 2870 and 2875.

Prime Factorization of 2870


2 2870
5 1435
7 287
41 41
1

Prime factors of 2870 are 2, 5, 7,41. Prime factorization of 2870 in exponential form is:

2870 = 21×51×71×411

Prime Factorization of 2875


5 2875
5 575
5 115
23 23
1

Prime factors of 2875 are 5,23. Prime factorization of 2875 in exponential form is:

2875 = 53×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2870 and 2875.

LCM(2870,2875) = 21×53×71×231×411
LCM(2870,2875) = 1650250

Factors of 2870

List of positive integer factors of 2870 that divides 2870 without a remainder.

1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870

Factors of 2875

List of positive integer factors of 2875 that divides 2875 without a remainder.

1, 5, 23, 25, 115, 125, 575, 2875

Least Common Multiple of 2870 and 2875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2870 and 2875, than apply into the LCM equation.

GCF(2870,2875) = 5
LCM(2870,2875) = ( 2870 × 2875) / 5
LCM(2870,2875) = 8251250 / 5
LCM(2870,2875) = 1650250

Properties of LCM 2870 and 2875

(i) The LCM of 2875 and 2870 is associative

LCM of 2870 and 2875 = LCM of 2875 and 2870

Related Least Common Multiples of 2870

Related Least Common Multiples of 2875

Frequently Asked Questions on LCM of 2870 and 2875

1. What is the LCM of 2870 and 2875?

Answer: LCM of 2870 and 2875 is 1650250.

2. What are the Factors of 2870?

Answer: Factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870. There are 16 integers that are factors of 2870. The greatest factor of 2870 is 2870.

3. What are the Factors of 2875?

Answer: Factors of 2875 are 1, 5, 23, 25, 115, 125, 575, 2875. There are 8 integers that are factors of 2875. The greatest factor of 2875 is 2875.

4. How to Find the LCM of 2870 and 2875?

Answer:

Least Common Multiple of 2870 and 2875 = 1650250

Step 1: Find the prime factorization of 2870

2870 = 2 x 5 x 7 x 41

Step 2: Find the prime factorization of 2875

2875 = 5 x 5 x 5 x 23

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1650250 = 2 x 5 x 5 x 5 x 7 x 23 x 41

Step 4: Therefore, the least common multiple of 2870 and 2875 is 1650250.